5 papers
Random Trees in Hyperbolic FPP
Riddhipratim Basu, Mahan Mj
We start by surveying known properties of first passage percolation (FPP) geodesics on a Gromov-hyperbolic group . Due to a coalescence phenomenon established in earlier work of…
Geodesic Trees and Exceptional Directions in FPP on Hyperbolic Groups
Riddhipratim Basu, Mahan Mj
We continue the study of the geometry of infinite geodesics in first passage percolation (FPP) on Gromov-hyperbolic groups G, initiated by Benjamini-Tessera and developed further b…
Finiteness of Cannon--Thurston fibers
Indranil Bhattacharyya, Rakesh Halder, Nir Lazarovich +1
Let be a proper map between proper hyperbolic metric spaces. A Cannon--Thurston map is a continuous extension . We prove that in most known sett…
Randomized Geodesic Flow on Hyperbolic Groups
Luzie Kupffer, Mahan Mj, Chiranjib Mukherjee
Motivated by Gromov's geodesic flow problem on hyperbolic groups , we develop in this paper an analog using random walks. This leads to a notion of a harmonic analog of the…
Hausdorff Dimension of non-conical and Myrberg limit sets
Mahan Mj, Wenyuan Yang
In this paper, we develop techniques to study the Hausdorff dimensions of non-conical and Myrberg limit sets for groups acting on negatively curved spaces. We establish maximality…